Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation
for the curve.
- ![Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation for the curve. - x = 2 t - 1 , y = t ^ { 2 } + 6 \text {, for } t \text { in } [ - 4,4 ] A) y = x ^ { 2 } + 1 , for x in [ - 2,2 ] B) y = \frac { 1 } { 4 } x ^ { 2 } + \frac { 1 } { 2 } x + \frac { 25 } { 4 } , for x in [ - 9,7 ] C) y = \frac { 1 } { 2 } x ^ { 2 } + 1 , \text { for } x \text { in } [ - 6,4 ] D) y = - \frac { 1 } { 2 } x + 30 \text {, for } x \text { in } [ - 6,4 ]](https://d2lvgg3v3hfg70.cloudfront.net/TB7514/11ed7c59_4af0_28ca_8ff5_6986d8e3deb6_TB7514_11.jpg)
A) ![Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation for the curve. - x = 2 t - 1 , y = t ^ { 2 } + 6 \text {, for } t \text { in } [ - 4,4 ] A) y = x ^ { 2 } + 1 , for x in [ - 2,2 ] B) y = \frac { 1 } { 4 } x ^ { 2 } + \frac { 1 } { 2 } x + \frac { 25 } { 4 } , for x in [ - 9,7 ] C) y = \frac { 1 } { 2 } x ^ { 2 } + 1 , \text { for } x \text { in } [ - 6,4 ] D) y = - \frac { 1 } { 2 } x + 30 \text {, for } x \text { in } [ - 6,4 ]](https://d2lvgg3v3hfg70.cloudfront.net/TB7514/11ed7c59_5200_2c5b_8ff5_e3adeefed39c_TB7514_11.jpg)
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B) ![Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation for the curve. - x = 2 t - 1 , y = t ^ { 2 } + 6 \text {, for } t \text { in } [ - 4,4 ] A) y = x ^ { 2 } + 1 , for x in [ - 2,2 ] B) y = \frac { 1 } { 4 } x ^ { 2 } + \frac { 1 } { 2 } x + \frac { 25 } { 4 } , for x in [ - 9,7 ] C) y = \frac { 1 } { 2 } x ^ { 2 } + 1 , \text { for } x \text { in } [ - 6,4 ] D) y = - \frac { 1 } { 2 } x + 30 \text {, for } x \text { in } [ - 6,4 ]](https://d2lvgg3v3hfg70.cloudfront.net/TB7514/11ed7c59_55d5_292c_8ff5_934c52bcd0d8_TB7514_11.jpg)
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C) ![Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation for the curve. - x = 2 t - 1 , y = t ^ { 2 } + 6 \text {, for } t \text { in } [ - 4,4 ] A) y = x ^ { 2 } + 1 , for x in [ - 2,2 ] B) y = \frac { 1 } { 4 } x ^ { 2 } + \frac { 1 } { 2 } x + \frac { 25 } { 4 } , for x in [ - 9,7 ] C) y = \frac { 1 } { 2 } x ^ { 2 } + 1 , \text { for } x \text { in } [ - 6,4 ] D) y = - \frac { 1 } { 2 } x + 30 \text {, for } x \text { in } [ - 6,4 ]](https://d2lvgg3v3hfg70.cloudfront.net/TB7514/11ed7c59_5a70_351d_8ff5_853ae1c0fa84_TB7514_11.jpg)
D) ![Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation for the curve. - x = 2 t - 1 , y = t ^ { 2 } + 6 \text {, for } t \text { in } [ - 4,4 ] A) y = x ^ { 2 } + 1 , for x in [ - 2,2 ] B) y = \frac { 1 } { 4 } x ^ { 2 } + \frac { 1 } { 2 } x + \frac { 25 } { 4 } , for x in [ - 9,7 ] C) y = \frac { 1 } { 2 } x ^ { 2 } + 1 , \text { for } x \text { in } [ - 6,4 ] D) y = - \frac { 1 } { 2 } x + 30 \text {, for } x \text { in } [ - 6,4 ]](https://d2lvgg3v3hfg70.cloudfront.net/TB7514/11ed7c59_5f00_b9be_8ff5_3fc0cfa81d8b_TB7514_11.jpg)
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